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Finding the Third Proportional to 105,539,966 and 161,448,651

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Solution

The third proportional to 105,539,966 and 161,448,651 is: 246,974,372.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,539,966 : 161,448,651 = 161,448,651 : x
  2. Step 2: Convert to fraction form
    105,539,966/161,448,651 = 161,448,651/x
  3. Step 3: Cross multiply
    105,539,966x = 161,448,651 × 161,448,651
  4. Step 4: Simplify right side
    105,539,966x = 26,065,666,909,719,800
  5. Step 5: Solve for x
    x = 26,065,666,909,719,800/105,539,966
  6. Step 6: Final answer
    x = 246,974,372.81

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.